If $p: \text{A man is happy}$,$q: \text{A man is rich}$,then the symbolic form of '$\text{A man is neither happy nor rich}$' is

The statement pattern $\sim(p \vee q) \vee(\sim p \wedge q)$ is equivalent to

Which of the following sentences are statements? Give reasons for your answer.
There are $35$ days in a month.

The negation of the contrapositive of the statement $(p \lor \sim q) \to (p \land \sim q)$ is

The symbolic form of the following circuit is (where $p, q$ and $r$ represent switches $s_{1}, s_{2}$ and $s_{3}$ which are closed respectively):

Consider the following statements:
$p$: If voltage increases, then current decreases.
$q$: If voltage does not increase, then current does not decrease.
$r$: If current decreases, then voltage increases.
$s$: If current does not decrease, then voltage does not increase.
Which of the following pairs of statements have the same meaning?